On uncertainty modeling of thermoelastic vibration for porous nanosandwich beams with gradient core based on nonlocal higher order beam model

References

• Ebrahimi F, Khosravi K, Dabbagh A. Wave dispersion in viscoelastic FG nanobeams via a novel spatial–temporal nonlocal strain gradient framework. Waves Random Complex Media. 2021:1–23.
   Google Scholar
• Behdad S, Fakher M, Naderi A, et al. Vibrations of defected local/nonlocal nanobeams surrounded with two-phase Winkler–Pasternak medium: non-classic compatibility conditions and exact solution. Waves Random Complex Media. 2021:1–36.
   Google Scholar
• Ebrahimi F, Dabbagh A. Magnetic field effects on thermally affected propagation of acoustical waves in rotary double-nanobeam systems. Waves Random Complex Media. 2021;31(1):25–45.
   Google Scholar
• Salari E, Sadough Vanini S. Nonlocal nonlinear static/dynamic snap-through buckling and vibration of thermally postbuckled imperfect functionally graded circular nanoplates. Waves Random Complex Media. 2022:1–47.
   Google Scholar
• Chandel VS, Talha M. Stochastic thermoelastic vibration characteristics of functionally graded porous nano-beams using first-order perturbation-based nonlocal finite element model. Proc Inst Mech Eng Part C J Mech Eng Sci. 2022;236:09544062221086242.
   Google Scholar
• Eringen AC, Edelen D. On nonlocal elasticity. Int J Eng Sci. 1972;10(3):233–248.
   Google Scholar
• Eringen AC. On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves. J Appl Phys. 1983;54(9):4703–4710.
   Google Scholar
• Peddieson J, Buchanan GR, McNitt RP. Application of nonlocal continuum models to nanotechnology. Int J Eng Sci. 2003;41(3–5):305–312.
   Google Scholar
• Chandel VS, Wang G, Talha M. Advances in modelling and analysis of nanostructures: a review. Nanotechnol Rev. 2020;9(1):230–258.
   Google Scholar
• Alam M, Mishra SK. Thermo-mechanical post-critical analysis of nonlocal orthotropic plates. Appl Math Model. 2020;79:106–125.
   Google Scholar
• Alam M, Mishra SK. Nonlinear vibration of nonlocal strain gradient functionally graded beam on nonlinear compliant substrate. Compos Struct. 2021;263:113447.
   Google Scholar
• Alam M, Mishra SK, Kant T. Scale dependent critical external pressure for buckling of spherical shell based on nonlocal strain gradient theory. Int J Struct Stab Dyn. 2021;21(01):2150003.
   Google Scholar
• Phung-Van P, Lieu QX, Ferreira A, et al. A refined nonlocal isogeometric model for multilayer functionally graded graphene platelet-reinforced composite nanoplates. Thin-Walled Struct. 2021;164:107862.
   Google Scholar
• Ebrahimi F, Mahesh V, et al. On nonlinear vibration of sandwiched polymer-CNT/GPL-fiber nanocomposite nanoshells. Thin-Walled Struct. 2020;146:106431.
   Google Scholar
• Murmu T, Pradhan S. Buckling analysis of a single-walled carbon nanotube embedded in an elastic medium based on nonlocal elasticity and Timoshenko beam theory and using DQM. Physica E Low-dimens Syst Nanostruct. 2009;41(7):1232–1239.
   Google Scholar
• Pradhan S, Murmu T. Small scale effect on the buckling of single-layered graphene sheets under biaxial compression via nonlocal continuum mechanics. Comput Mater Sci. 2009;47(1):268–274.
   Google Scholar
• Murmu T, Sienz J, Adhikari S, et al. Nonlocal buckling of double-nanoplate-systems under biaxial compression. Composites Part B: Eng. 2013;44(1):84–94.
   Google Scholar
• Senthilkumar V. Buckling analysis of a single-walled carbon nanotube with nonlocal continuum elasticity by using differential transform method. Adv Sci Lett. 2010;3(3):337–340.
   Google Scholar
• Sobhy M, Zenkour AM. Wave propagation in magneto-porosity FG bi-layer nanoplates based on a novel quasi-3D refined plate theory. Waves Random Complex Media. 2021;31(5):921–941.
   Google Scholar
• Narendar S, Gupta S, Gopalakrishnan S. Wave propagation in single-walled carbon nanotube under longitudinal magnetic field using nonlocal Euler–Bernoulli beam theory. Appl Math Model. 2012;36(9):4529–4538.
   Google Scholar
• Ebrahimi F, Khosravi K, Dabbagh A. A novel spatial–temporal nonlocal strain gradient theorem for wave dispersion characteristics of FGM nanoplates. Waves Random Complex Media. 2021:1–20.
   Google Scholar
• Narendar S, Gopalakrishnan S. Nonlocal scale effects on wave propagation in multi-walled carbon nanotubes. Comput Mater Sci. 2009;47(2):526–538.
   Google Scholar
• Norouzzadeh A, Ansari R, Rouhi H. An analytical study on wave propagation in functionally graded nano-beams/tubes based on the integral formulation of nonlocal elasticity. Waves Random Complex Media. 2020;30(3):562–580.
   Google Scholar
• Gopalakrishnan S, Narendar S. Wave propagation in nanostructures: nonlocal continuum mechanics formulations. London: Springer Science & Business Media; 2013.
   Google Scholar
• Ebrahimi F, Seyfi A, Nouraei M, et al. Influence of magnetic field on the wave propagation response of functionally graded (FG) beam lying on elastic foundation in thermal environment. Waves Random Complex Media. 2021:1–19.
   Google Scholar
• Al-Furjan M, Xu M, Farrokhian A, et al. On wave propagation in piezoelectric-auxetic honeycomb-2D-FGM micro-sandwich beams based on modified couple stress and refined zigzag theories. Waves Random Complex Media. 2022:1–25.
   Google Scholar
• Al-Furjan M, Yang Y, Farrokhian A, et al. Dynamic instability of nanocomposite piezoelectric-leptadenia pyrotechnica rheological elastomer-porous functionally graded materials micro viscoelastic beams at various strain gradient higher-order theories. Polym Compos. 2022;43(1):282–298.
   Google Scholar
• Al-Furjan M, Yin C, Shen X, et al. Energy absorption and vibration of smart auxetic FG porous curved conical panels resting on the frictional viscoelastic torsional substrate. Mech Syst Signal Process. 2022;178:109269.
   Google Scholar
• Kolahchi R, Keshtegar B, Trung NT. Optimization of dynamic properties for laminated multiphase nanocomposite sandwich conical shell in thermal and magnetic conditions. J Sandwich Struct Mater. 2022;24(1):643–662.
   Google Scholar
• Al-Furjan M, Farrokhian A, Mahmoud S, et al. Dynamic deflection and contact force histories of graphene platelets reinforced conical shell integrated with magnetostrictive layers subjected to low-velocity impact. Thin-Walled Struct. 2021;163:107706.
   Google Scholar
• Hajmohammad MH, Farrokhian A, Kolahchi R. Dynamic analysis in beam element of wave-piercing Catamarans undergoing slamming load based on mathematical modelling. Ocean Eng. 2021;234:109269.
   Google Scholar
• Kammoun N, Jrad H, Bouaziz S, et al. Thermo-electro-mechanical vibration characteristics of graphene/piezoelectric/graphene sandwich nanobeams. J Mech. 2019;35(1):65–79.
   Google Scholar
• Sobhy M, Zenkour AM. Magnetic field effect on thermomechanical buckling and vibration of viscoelastic sandwich nanobeams with CNT reinforced face sheets on a viscoelastic substrate. Composites Part B: Eng. 2018;154:492–506.
   Google Scholar
• Sobhy M, Abazid MA. Dynamic and instability analyses of FG graphene-reinforced sandwich deep curved nanobeams with viscoelastic core under magnetic field effect. Composites Part B: Eng. 2019;174:106966.
   Google Scholar
• Babaei M, Kiarasi F, Asemi K, et al. Transient thermal stresses in FG porous rotating truncated cones reinforced by graphene platelets. Appl Sci. 2022;12(8):3932.
   Google Scholar
• Kiarasi F, Babaei M, Asemi K, et al. Three-dimensional buckling analysis of functionally graded saturated porous rectangular plates under combined loading conditions. Appl Sci. 2021;11(21):10434.
   Google Scholar
• Babaei M, Asemi K, Kiarasi F. Dynamic analysis of functionally graded rotating thick truncated cone made of saturated porous materials. Thin-Walled Struct. 2021;164:107852.
   Google Scholar
• Babaei M, Asemi K, Kiarasi F. Static response and free-vibration analysis of a functionally graded annular elliptical sector plate made of saturated porous material based on 3D finite element method. Mech Based Des Struct Mach. 2020:1–25.
   Google Scholar
• Babaei M, Asemi K. Stress analysis of functionally graded saturated porous rotating thick truncated cone. Mech Based Des Struct Mach. 2022;50(5):1537–1564.
   Google Scholar
• Babaei M, Kiarasi F, Hossaeini Marashi SM, et al. Stress wave propagation and natural frequency analysis of functionally graded graphene platelet-reinforced porous joined conical–cylindrical–conical shell. Waves Random Complex Media. 2021:1–33.
   Google Scholar
• Kiarasi F, Babaei M, Mollaei S, et al. Free vibration analysis of FG porous joined truncated conical-cylindrical shell reinforced by graphene platelets. Adv Nano Res. 2021;11(4):361–380.
   Google Scholar
• Arefi M, Kiani M, Rabczuk T. Application of nonlocal strain gradient theory to size dependent bending analysis of a sandwich porous nanoplate integrated with piezomagnetic face-sheets. Composites Part B: Eng. 2019;168:320–333.
   Google Scholar
• Al-Furjan M, Shan L, Shen X, et al. Combination of FEM-DQM for nonlinear mechanics of porous GPL-reinforced sandwich nanoplates based on various theories. Thin-Walled Struct. 2022;178:109495.
   Google Scholar
• Liu H, Lyu Z. Modeling of novel nanoscale mass sensor made of smart FG magneto-electro-elastic nanofilm integrated with graphene layers. Thin-Walled Struct. 2020;151:106749.
   Google Scholar
• Ebrahimi F, Hosseini S, Singhal A. A comprehensive review on the modeling of smart piezoelectric nanostructures. Struct Eng Mech. 2020;74(5):611-–633.
   Google Scholar
• Bensaid I, Daikh AA, Drai A. Size-dependent free vibration and buckling analysis of sigmoid and power law functionally graded sandwich nanobeams with microstructural defects. Proc Inst Mech Eng, Part C: J Mech Eng Sci. 2020;234(18):3667–3688.
   Google Scholar
• Jankowski P, Zur KK, Kim J, et al. On the piezoelectric effect on stability of symmetric FGM porous nanobeams. Compos Struct. 2021;267:113880.
   Google Scholar
• On BB, Altus E. Stochastic surface effects in nanobeam sensors. Probabilistic Eng Mech. 2010;25(2):228–234.
   Google Scholar
• Lv Z, Liu H. Nonlinear bending response of functionally graded nanobeams with material uncertainties. Int J Mech Sci. 2017;134:123–135.
   Google Scholar
• Chu L, Shi J, Ben S. Buckling analysis of vacancy-defected graphene sheets by the stochastic finite element method. Materials. 2018;11(9):1545.
   Google Scholar
• Karličić D, Kozić P, Cajić M. Stochastic stability of a magnetically affected single-layer graphene sheet resting on a viscoelastic foundation. Eur J Mech-A/Solids. 2018;72:66–78.
   Google Scholar
• Liu H, Lv Z. Uncertain material properties on wave dispersion behaviors of smart magneto-electro-elastic nanobeams. Compos Struct. 2018;202:615–624.
   Google Scholar
• Lv Z, Liu H. Uncertainty modeling for vibration and buckling behaviors of functionally graded nanobeams in thermal environment. Compos Struct. 2018;184:1165–1176.
   Google Scholar
• Liu H, Lv Z. Vibration and instability analysis of flow-conveying carbon nanotubes in the presence of material uncertainties. Phys A Stat Mech Appl. 2018;511:85–103.
   Google Scholar
• Zhu J, Lv Z, Liu H. Thermo-electro-mechanical vibration analysis of nonlocal piezoelectric nanoplates involving material uncertainties. Compos Struct. 2019;208:771–783.
   Google Scholar
• Śniady P, Podwórna M, Idzikowski R. Stochastic vibrations of the Euler–Bernoulli beam based on various versions of the gradient nonlocal elasticity theory. Probab Eng Mech. 2019;56:27–34.
   Google Scholar
• Colinjivadi KS, Lee JB, Draper R. Viable cell handling with high aspect ratio polymer chopstick gripper mounted on a nano precision manipulator. Microsyst Technol. 2008;14(9):1627–1633.
   Google Scholar
• Jiang X, Huang W, Zhang S. Flexoelectric nano-generator: materials, structures and devices. Nano Energy. 2013;2(6):1079–1092.
   Google Scholar
• Wang K, Wang B. An analytical model for nanoscale unimorph piezoelectric energy harvesters with flexoelectric effect. Compos Struct. 2016;153:253–261.
   Google Scholar
• Yoon C, Ippili S, Jella V, et al. Synergistic contribution of flexoelectricity and piezoelectricity towards a stretchable robust nanogenerator for wearable electronics. Nano Energy. 2022;91:106691.
   Google Scholar
• Nour E, Nur O, Willander M. Zinc oxide piezoelectric nano-generators for low frequency applications. Semicond Sci Technol. 2017;32(6):064005.
   Google Scholar
• Surmenev RA, Chernozem RV, Pariy IO, et al. A review on piezo-and pyroelectric responses of flexible nano-and micropatterned polymer surfaces for biomedical sensing and energy harvesting applications. Nano Energy. 2021;79:105442.
   Google Scholar
• Han JK, Kim S, Jang S, et al. Tunable piezoelectric nanogenerators using flexoelectricity of well-ordered hollow 2D MoS2 shells arrays for energy harvesting. Nano Energy. 2019;61:471–477.
   Google Scholar
• Abbasi AA, Ahmadian M. Force controlled manipulation of biological cells using a monolithic mems based nano-micro gripper. ASME International Mechanical Engineering Congress and Exposition; Vol. 45189, American Society of Mechanical Engineers; 2012. p. 193–201.
   Google Scholar
• Jankowski P, Żur KK, Kim J, et al. On the bifurcation buckling and vibration of porous nanobeams. Compos Struct. 2020;250:112632. Available from: https://www.sciencedirect.com/science/article/pii/S0263822320321000.
   Google Scholar
• Gibson I, Ashby MF. The mechanics of three-dimensional cellular materials. Proc R Soc London A Math Phys Sci. 1982;382(1782):43–59.
   Google Scholar
• Shen HS. Functionally graded materials: nonlinear analysis of plates and shells. Boca Raton, FL: CRC Press; 2016.
   Google Scholar
• Heyliger P, Reddy J. A higher order beam finite element for bending and vibration problems. J Sound Vib. 1988;126(2):309–326.
   Google Scholar
• Sahoo R, Singh B. A new shear deformation theory for the static analysis of laminated composite and sandwich plates. Int J Mech Sci. 2013;75:324–336.
   Google Scholar
• Pandit M, Singh B, Sheikh A. Stochastic perturbation-based finite element for deflection statistics of soft core sandwich plate with random material properties. Int J Mech Sci. 2009;51(5):363–371.
   Google Scholar
• Li L, Tang H, Hu Y. Size-dependent nonlinear vibration of beam-type porous materials with an initial geometrical curvature. Compos Struct. 2018;184:1177–1188.
   Google Scholar
• Wang C, Reddy JN, Lee K. Shear deformable beams and plates: relationships with classical solutions. London: Elsevier; 2000.
   Google Scholar
• Nguyen TK, Nguyen TTP, Vo TP, et al. Vibration and buckling analysis of functionally graded sandwich beams by a new higher-order shear deformation theory. Composites Part B: Eng. 2015;76:273–285.
   Google Scholar
• Ebrahimi F, Salari E. Effect of various thermal loadings on buckling and vibrational characteristics of nonlocal temperature-dependent functionally graded nanobeams. Mech Adv Mater Struct. 2016;23(12):1379–1397.
   Google Scholar